Edexcel FP1 Specimen — Question 1 5 marks

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
SessionSpecimen
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicNumerical integration
TypeSimpson's rule application
DifficultyModerate -0.8 This is a straightforward application of Simpson's Rule with clearly specified intervals and a simple function to evaluate. It requires only mechanical substitution into the formula with no problem-solving or conceptual insight—purely procedural calculation that's easier than average A-level questions.
Spec1.09f Trapezium rule: numerical integration

  1. Use Simpson's Rule with 6 intervals to estimate
$$\int _ { 1 } ^ { 4 } \sqrt { 1 + x ^ { 3 } } d x$$

\begin{enumerate}
  \item Use Simpson's Rule with 6 intervals to estimate
\end{enumerate}

$$\int _ { 1 } ^ { 4 } \sqrt { 1 + x ^ { 3 } } d x$$

\hfill \mbox{\textit{Edexcel FP1  Q1 [5]}}